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1102320031220 = 225411493900397
BaseRepresentation
bin10000000010100111011…
…001001101010111110100
310220101021120121120020222
4100002213121031113310
5121030022411444340
62202222051513512
7142432342444652
oct20024731152764
93811246546228
101102320031220
11395544a13871
121597788b8898
137cc43644b05
143b4d166bdd2
151da194cc8b5
hex100a764d5f4

1102320031220 has 48 divisors (see below), whose sum is σ = 2372923295568. Its totient is φ = 429885066240.

The previous prime is 1102320031187. The next prime is 1102320031229. The reversal of 1102320031220 is 221300232011.

It can be written as a sum of positive squares in 8 ways, for example, as 207998020624 + 894322010596 = 456068^2 + 945686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102320031229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774062 + ... + 1674458.

It is an arithmetic number, because the mean of its divisors is an integer number (49435901991).

Almost surely, 21102320031220 is an apocalyptic number.

1102320031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102320031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186461647784).

1102320031220 is an abundant number, since it is smaller than the sum of its proper divisors (1270603264348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1102320031220 is a wasteful number, since it uses less digits than its factorization.

1102320031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901940 (or 901938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1102320031220 its reverse (221300232011), we get a palindrome (1323620263231).

The spelling of 1102320031220 in words is "one trillion, one hundred two billion, three hundred twenty million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1493 2986 5972 7465 14930 29860 61213 122426 244852 306065 612130 900397 1224260 1800794 3601588 4501985 9003970 18007940 36916277 73832554 147665108 184581385 369162770 738325540 1344292721 2688585442 5377170884 6721463605 13442927210 26885854420 55116001561 110232003122 220464006244 275580007805 551160015610 1102320031220